Skill Practice Flashcards by James Behncke

Solve the system:
4x + 5y = 25
6x + 6y = 36

x = 5, y = 1

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For X~N(70, 8), find P(X <= 80)

0.8944

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Solve 3x² + 1x -8 = 0

x = ((-1) ± sqrt(97))/(2*3)

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Find the vertex of f(x) = 2x² -5x -5

(1.250, -8.125)

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Solve for x:
7x-8 = -3

x =5/7

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Find the vertex of f(x) = 1x² + 3x + 10

(-1.500, 7.750)

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Solve the system:
4x + 2y = -10
6x + y = -13

x = -2, y = -1

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A rectangle has perimeter 21 m. Find dimensions for maximum area

“x = 5.25 m, y = 5.25 m”

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A rectangle has perimeter 26 m. Find dimensions for maximum area

“x = 6.50 m, y = 6.50 m”

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Solve the system:
x + 2y = 5
x + 4y = 11

x = -1, y = 3

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Differentiate f(x) = 3x³ + 5x² + 5x

f’(x) = 9x² + 10x + 5

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For X~Bin(10,0.5), find P(X=3)

0.1172

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Differentiate f(x) = -2x³ + 3x² + 1x

f’(x) = -6x² + 6x + 1

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State the domain of y = sqrt(2x + 7)

x >= -3.5

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Find the vertex of f(x) = 3x² + 8x -8

(-4/3, -40/3)

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Solve for x:
4x + 6 = 7

x = 1/4

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Solve the system:
3x + 2y = -16
6x + y = -17

x = -2, y = -5

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State the domain of y = ln(4x -5)

x > 5/4

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Differentiate f(x) = -4x³+ 2x² + 4x

f’(x) = -12x² + 4x + 4

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For X~Bin(n=12, p=0.6), find P(X=2)

0.0025

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Differentiate f(x) = -4x³ -2x² + 0x

f’(x) = -12x² -4x + 0

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Find the vertex of f(x) = 2x² -7x -1

(1.750, -7.125)

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Solve for x: 2x + 7 = 2

x = -2.5

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For X~Bin(n=15, p=0.4), find P(X=1)

0.0047

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Solve for x: 2x -6 = 2

x = 4.0

Solve the system: 4x + 4y = 20 x + 2y = 9

x = 1, y = 4

Differentiate f(x) = 4x² -4x

f'(x) =8x -4

If E[X]=5, Var(X)=4, find E[Y], Var(Y) for Y=2X+-1

E[Y]=9, Var(Y)=16

Find the vertex of f(x) = 3x² + 7x -1

(-1.167, -5.083)

Solve 3x² + 2x = 0

x = -2/3, 0

State the domain of y = ln(2x + 5)

x > -2.5

State the domain of y = sqrt(4x + 8)

x >= -2

Solve for x: 2x -9 = -5

x = 2

Solve 1x² + 3x -4 = 0

x = -4.0, 1.0

Differentiate f(x) = -1x³-4x

f'(x) = -3x² -4

Solve the system: x + y = -4 3x + 5y = -12

x = -4, y = 0

Solve for x: 5x + 3 = 10

x =7/5

Solve 3x² -3x -7 = 0

x = (3± sqrt(93/6))

Differentiate f(x) = -4x³ -2x² + 3x

f'(x) = -12x² -4x + 3

State the domain of y = sqrt(2x)

x >= 0

Solve the system: 6x + 2y = 0 3x + 6y = 15

x = -1, y = 3

Solve for x: 4x-6 = 4

x = 2.5

Solve 3x² + 5x -6 = 0

x = (-5 ± sqrt(97/6)

Differentiate f(x) = -1x³ + 3x² + 5x

f'(x) = -3x² + 6x + 5

A rectangle has perimeter 39 m. Find dimensions for maximum area

"x = 9.75 m, y = 9.75 m"

Solve the system: 4x + 3y = 3 4x + 5y = 13

x = -3, y = 5

Differentiate f(x) = -4x³ + 0x² -4x

f'(x) = -12x²-4

Find the vertex of f(x) = 3x² -8x + 4

(5/4, -5/4)

Solve for x: 6x-3 = 7

x = 5/3

Solve 3x² -6x -10 = 0

x = 6 ± sqrt(156/6)

Differentiate f(x) = 5x³ -3x² + 5x

f'(x) = 15x² -6x + 5

State the domain of y = ln(5x -4)

x > 0.8

Differentiate f(x) = 0x³ -3x² + 3x

f'(x) = -6x + 3

Find the vertex of f(x) = 1x² + 2x + 6

(-1.000, 5.000)

Find the vertex of f(x) = 3x² -8x + 9

(1.333, 3.667)

For X~Bin(n=10, p=0.6), find E[X]

Solve 2x² + 4x -3 = 0

x = ((-4) ± sqrt(40))/(2*2)

Find the vertex of f(x) = 1x² -1x + 7

(0.500, 6.750)

Solve the system: 4x + 3y = -23 5x + 5y = -35

x = -2, y = -5

Differentiate f(x) = 3x³ + 5x² + 0x

f'(x) = 9x² + 10x + 0

State the domain of y = sqrt(4x -5)

x >= 1.250

A rectangle has perimeter 20 m. Find dimensions for maximum area

"x = 5.00 m, y = 5.00 m"

For X~Bin(n=8, p=0.4), find P(X=3)

0.2787

Solve for x: 5x -1 = -3

x = -2/5

Differentiate f(x) = -4x³ + 3x² -4x

f'(x) = -12x² + 6x -4

Differentiate f(x) = -2x³ -1x² -2x

f'(x) = -6x² -2x -2

Differentiate f(x) = -1x³ + 5x² -1x

f'(x) = -3x² + 10x -1

A rectangle has perimeter 40 m. Find dimensions for maximum area

"x = 10.00 m, y = 10.00 m"

Solve 1x² -4x -8 = 0

x = ((4) ± sqrt(48))/(2*1)

Solve 3x² -5 = 0

x = ((0) ± sqrt(60))/(2*3)

Solve 2x² -5x -8 = 0

x = ((5) ± sqrt(89))/(2*2)

Solve 3x² -3 = 0

x = -1.0, 1.0

State the domain of y = ln(1x + 1)

x > -1.000

Solve the system: 6x + y = -15 2x + 4y = 6

x = -3, y = 3

For X~Bin(n=10, p=0.5), find P(X=2)

0.0439

Solve for x: 7x-6 = -1

x = 5/7

Solve for x: 4x-2 = 8

x = 5/2

Skill Practice Flashcards

(77 cards)